Question

Select the linear function(s) from the given curves that represents the input and output of a system.

• A. Graph B
• B. None
• C. Graph C
• D. Graph A

Answer 1

The correct option is B None

We know a linear function always represents a staright line an has the equation as y = mx + c.

Consider graph A:


If we pass a vertical line over it, there is no instance at which more than one point of it intersects the vertical line. This means that is a function but it is not a linear one.

Consider graph B:


If we pass a vertical line over it, there is no instance at which more than one point of it intersects the vertical line. This means that is a function but it is not also a linear one.

Consider graph C:


If we pass a vertical line over it, more than one point of it intersects vertical line at lot of instance. This means that is not a function at all.

So, none of the graphs are linear function.